Abstract
Photovoltaic (PV) system is one of the alternative technologies that is able to convert solar energy to electricity. The operation of the PV causes its solar cell temperature to be increased, and thus a drop in its performance. Although this loss of PV efficiency can be reduced by incorporating cooling techniques into the PV, there are no existing methods to objectively evaluate the PV cooling techniques. Hence, a method for assessing the PV cooling techniques is proposed here, based on a new parameter called the temperature-dependent PV efficiency difference factor, which is defined and derived. This factor identifies the relevant parameters that effect the efficiency that leads to the assessment of the overall PV cooling technique. This parameter can indicate if the cooling technique is contributing to the PV efficiency gain or loss, or neutral and may have the potential to be a measure of PV cooler performance evaluation by manufacturers and designers of such products.
This is a preview of subscription content, access via your institution.


Change history
10 June 2022
A Correction to this paper has been published: https://doi.org/10.1007/s13369-022-06903-5
Abbreviations
- A :
-
Area (m2)
- D :
-
Diameter of the pipe or channel (m)
- F :
-
Factor, dimensionless
- FF:
-
Fill factor
- f :
-
Darcy friction factor, dimensionless
- h :
-
Convection heat transfer coefficient (W/m2Â K)
- G :
-
Solar radiation (W/m2)
- g :
-
Gravitational acceleration (m/s2)
- K :
-
Coefficient loss
- L :
-
Length of pipe or channel (m)
- \( \dot{m} \) :
-
Mass flow rate of the fluid (kg/s)
- I :
-
Electric current (A)
- P :
-
Power (W)
- \( \Delta P \) :
-
Pressure drop (N/m2)
- \( \dot{Q} \) :
-
Heat transfer (W)
- T :
-
Temperature (°C)
- V :
-
Electric voltage (V)
- v :
-
Velocity of the fluid (m/s)
- conv:
-
Convection
- fc:
-
Forced convection using pump or fan
- max:
-
Maximum
- os:
-
Open circuit
- PV:
-
Photovoltaic module
- PVCT:
-
Photovoltaic module with a cooling technique
- ref:
-
Reference
- s:
-
Surface
- sc:
-
Short circuit
- STC:
-
Standard test conditions
- TDED:
-
Temperature-dependent PV efficiency difference
- \( \rho \) :
-
Density of the fluid (kg/m3)
- \( \beta \) :
-
Fractional decrease in PV efficiency per unit temperature increase (K−1)
- η :
-
Efficiency
- \( \gamma \) :
-
Radiation coefficient for cell efficiency
- \( \theta \) :
-
Inclination angle
References
Li, Quan; Wolfs, P.: A review of the single phase photovoltaic module integrated converter topologies with three different DC link configurations. IEEE Trans. Power Electron. 23(3), 1320–1333 (2008)
Rappaportt, Paul: The photovoltaic effect and its utilization. Sol. Energy 3, 8–18 (1959)
Green, M.A.: Photovoltaics: technology overview. Energy Policy 28, 989–998 (2000)
Skoplaki, E.; Palyvos, J.A.: On the temperature dependence of photovoltaic module electrical performance: a review of efficiency/power correlations. Sol. Energy 83, 614–624 (2009)
Zondag, H.A.: Flat-plate PV-Thermal collectors and systems: a review. Renew. Sustain. Energy Rev. 12, 891–959 (2008)
Evans, D.L.: Simplified method for predicting photovoltaic array output. Sol. Energy 27, 555–560 (1981)
Notton, G.; Cristofari, C.; Mattei, M.; Poggi, P.: Modelling of a double-glass photovoltaic module using finite differences. Appl. Therm. Eng. 25, 2854–2877 (2005)
Sultan, S.M.; Efzan, M.N.E.: Review on recent Photovoltaic/Thermal (PV/T) technology advances and applications. Sol. Energy 173, 939–954 (2018)
Sultan, S.M.; Tso, C.P.; Efzan, M.N.E.: Comments on “Performance evaluation of photovoltaic thermal solar air collector for composite climate of India. Solar Energy Mater. Solar Cells. https://doi.org/10.1016/j.solmat.2019.03.043
Animasaun, I.L.: Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction. J. Niger. Math. Soc. 34(1), 11–31 (2015)
Shah, N.A.; Animasaun, I.L.; Ibraheem, R.O.; Babatunde, H.A.; Sandeep, N.; Pop, I.: Scrutinization of the effects of Grashof number on the flow of different fluids driven by convection over various surfaces. J. Mol. Liq. 249, 980–990 (2018)
Kolade Koriko, O.; Oreyeni, T.; John Omowaye, A.; Lare Animasaun, I.: homotopy analysis of MHD free convective micropolar fluid flow along a vertical surface embedded in non-darcian thermally-stratified medium. Open J. Fluid Dyn. 06(03), 198–221 (2016)
Cengel, Y.A.; Ghajar, A.: Heat and Mass Transfer Fundamentals and Applications. Mc Graw Hill, New York (2011)
Ziapour, B.M.; Khalili, M.B.: PVT type of the two-phase loop mini tube thermosyphon solar water heater. Energy Convers. Manag. 129, 54–61 (2016)
Xu, P.; Zhang, X.; Shen, J.; Zhao, X.; He, W.; Li, D.: Parallel experimental study of a novel super-thin thermal absorber based photovoltaic/thermal (PV/T) system against conventional photovoltaic (PV) system. Energy Rep. 1, 30–35 (2015)
Fuentesa, M.; Vivar, M.; de la Casa, J.; Aguilera, J.: An experimental comparison between commercial hybrid PV-T and simple PV systems intended for BIPV. Renew. Sustain. Energy Rev. 93, 110–120 (2018)
Liang, R.; Pan, Q.; Wang, P.; Zhang, J.: Experiment research of solar PV/T cogeneration system on the building façade driven by a refrigerant pump. Energy 161, 744–752 (2018)
Al-Shamani, A.N.; Mat, S.; Ruslan, M.H.; Abed, A.M.; Sopian, K.: Effect of new ellipse design on the performance enhancement of PV/T collector: CDF approach. Int. J. Environ. Sustain. 5, 54–60 (2016)
Tiwari, G.N.; Fischer, O.; Mishra, R.K.; Al-Helal, I.M.: Performance evaluation of N-photovoltaic thermal (PVT) water collectors partially covered by photovoltaic module connected in series: an experimental study. Sol. Energy 134, 302–313 (2016)
Alizadeh, H.; Ghasempour, R.; Shafii, M.B.; Ahmadi, M.H.; Yan, W.-M.; Nazari, M.A.: Numerical simulation of PV cooling by using single turn pulsating heat pipe. Int. J. Heat Mass Transf. 127, 203–208 (2018)
Al-Shamani, A.N.; Alghoul, M.A.; Elbreki, A.M.; Ammar, A.A.; Abed, A.M.; Sopian, K.: Mathematical and experimental evaluation of thermal and electrical efficiency of PV/T collector using different water based nano-fluids. Energy 145, 770–792 (2018)
Nahar, A.; Hasanuzzaman, M.; Rahim, N.A.: Numerical and experimental investigation on the performance of a photovoltaic thermal collector with parallel plate flow channel under different operating conditions in Malaysia. Sol. Energy 144, 517–528 (2017)
Rahman, M.M.; Hasanuzzaman, M.; Rahim, N.A.: Effects of operational conditions on the energy efficiency of photovoltaic modules operating in Malaysia. J. Clean. Prod. 143, 912–924 (2017)
Fayaz, H.; Nasrin, R.; Rahim, N.A.; Hasanuzzaman, M.: Energy and exergy analysis of the PVT system: effect of nanofluid flow rate. Sol. Energy 169, 217–230 (2018)
Fadhel, M.I.; Sultan, S.M.; Alkaff, S.A.: Theoretical study of new configuration of PVT system design. J. Adv. Mater. Res. 772, 681–687 (2013)
Sultan, S.M.; Fadhel, M.I.; Alkaff, S.A.: Performance analysis of the photovoltaic/thermal solar collector for different Malaysian condition. J. Appl. Mech. Mater. 467, 522–527 (2014)
Nahar, A.; Hasanuzzaman, M.; Rahim, N.A.; Parvin, S.: Numerical investigation on the effect of different parameters in enhancing heat transfer performance of photovoltaic thermal systems. Renew. Energy 132, 284–295 (2019)
Al-Shamani, A.N.; Mat, S.; Ruslan, M.H.; Abed, A.M.; Sopian, K.: Numerical study on the characteristics of a specially designed rectangular tube absorber photovoltaic thermal collector (PVT). WSEAS Trans. Environ. Dev. 11, 23–28 (2016)
Sakellariou, E.; Axaopoulos, P.: Simulation and experimental performance analysis of a modified PV panel to a PVT collector. Sol. Energy 155, 715–726 (2017)
Bilbao, J.I.; Sproul, A.B.: Detailed PVT-water model for transient analysis using RC networks. Sol. Energy 115, 680–693 (2015)
Yang, X.; Sun, L.; Yuan, Y.; Zhao, X.; Cao, X.: Experimental investigation on performance comparison of PV/T-PCM system and PV/T system. Renew. Energy 119, 152–159 (2018)
Sultan, S.M.; Tso, C.P.; Efzan, E.: A thermal performance study for different glazed water based photovoltaic thermal collectors. In: AIP Conference Proceedings, vol. 1, p. 020307 (2018)
Sultan, S.M.; Tso, C.P.; Efzan, E.: The effect of mass flow rate and solar radiation on the photovoltaic efficiency of a glazed water based PVT. In: AIP Conference Proceedings, vol. 1, p. 020309 (2018)
Lewis, C.A.; Kirkpatric, V.: Solar cell characteristics at high solar intensities and temperatures. In: 8th IEEE Photovoltaic Specialists Conference Record, pp. 123–134. Seattle, Washington (1970)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sultan, S.M., Tso, C.P. & Efzan, M.N.E. A Proposed Temperature-Dependent Photovoltaic Efficiency Difference Factor for Evaluating Photovoltaic Module Cooling Techniques in Natural or Forced Fluid Circulation Mode. Arab J Sci Eng 44, 8123–8128 (2019). https://doi.org/10.1007/s13369-019-03932-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-019-03932-5